dfdsfgf/big_math_dataset · Datasets at Hugging Face

question stringlengths 3 1.14k
The functions f and g are defined for all the positive integers n by the following rule: f(n) is the number of perfect squares less than n and g(n) is the number of primes numbers less than n. If f(x) + g(x) = 16, then x is in the range:
In how many ways can 8 different gifts be divided among four children such that each child receives exactly two gifts?
Of 10 applicants for a job, 3 had at least 5 years of prior work experience, 4 had advanced degrees, and 2 had at least 5 years of prior work experience and advanced degrees. How many of the applicants had neither 5 years of prior work experience nor advanced degrees?
The market value of a certain machine decreased by 25 percent of its purchase price each year. If the machine was purchased in 1982 for its market value of $8,000, what was its market value two years later?
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
Which of the following values is the greatest
If an average hard drive had a capacity of 0.3 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
If 42.24 = k(14 + m/50), where k and m are positive integers and m < 50, then what is the value of k + m ?
A batsman scored 120 runs which included 5 boundaries and 8 sixes. What % of his total score did he make by running between the wickets
If 11 men working 6 hours a day can do a work in 88 days. Then 6 men working 8 hours a day can do it in how many days?
Last year Sandy saved 10% of her annual salary. This year, she made 10% more money than last year, and she saved 6% of her salary. The amount saved this year was what percent of the amount she saved last year?
Ujakar and Keshab attempted to solve a quadratic equation. Ujakar made a mistake in writing down the constant term. He ended up with the roots (4,3). Keshab made a mistake in writing down the coefficient of x. He got the roots as (4,3). What would be the exact root of the original quadratic equation ?
The G.C.D. of 1.08, 0.36 and 0.4 is:
A parking space have 9 different slots. 9 cars has to arrange in 8 slots. But there are exactly 4 cars between 5 specified cars. In how many ways cars can be arranged?
Since 2001, the standard serial numbers on a New York state license plate are 3 letters followed by 4 digits. How many different license plates are possible if letters and digits can be repeated?
There are some fruits in box, 1/3rd eaten by children . Then 2/5th of the remaining by men , then 2/3rd of the remaining by women . At last 4 were remaining . How many fruits were in total ?
The average age of 15 students of a class is 15 years. Out of these, the average age of 3 students is 14 years and that of the other 11 students is 16 years. The age of the 15th student is
A company, Chauncy Co., has an annual travel budget of $51,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year?
On a certain test, Bill scored 20 more points than John, but half as many points as Sue. If the sum of the scores of the three students was 140 points, how many points did Bill receive?
A sporting goods store ordered an equal number of white and yellow tennis balls. The tennis ball company delivered 30 extra white balls, making the ratio of white balls to yellow balls 6:5. How many tennis balls did the store originally order?
Can you find a seven digit number which describes itself. The first digit is the number of zeros in the number. The second digit is the number of ones in the number, etc. For example, in the number 21200, there are 2 zeros, 1 one, 2 twos, 0 threes and 0 fours.
A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is
The average of 50 numbers is 38. If two numbers namely 45 and 55 are discarded, The average of remaining numbers is?
If n is a positive integer, which of the following expressions must be even?
Set A of 8 positive integers may have the same element and have 35. And set B of 8 positive integers must have different elements and have 35. When m and n are the greatest possible differences between 35 and other elements’ sums in set A and set B, respectively, m-n=?
average weight of 20 boys and 15 girls in a class is 29 kg and 22 kg respectively.find the average weight of all the students in the class.
A car travels a distance of 160 miles in 2 hours and 40 minutes, what is the speed of the car in miles per hour?
In a certain alphabet, 9 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?
The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 22 years. Find the average age of the women?
A Katiland's train rails across an open track at 250 kilometers per hour. A regular passenger train travels at 68% of the Katiland's train speed. If the two trains start moving from the same station at the same time, how much time longer will it take the passenger train than the Katiland's to travel 850 kilometers?
How many three digit no's are between 100-500,where sum of two digit is 3rd?
The list price of an article is Rs.67. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Which of the following numbers has a zero in its units digit? I. (4!)×(4!)×(3!)×(11)×(17)×(31) II. (2!)×(3!)×(3!)×(5)×(17)×(31) III. (2!)^5×(3!)^5×(4!)^5
The weights of one liter vegetable ghee packet of two brands ‘A’ and ‘B’ are 900 gm and 700 gm respectively. If they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters, what is the weight (in kg) of the mixture?
How many factors of 990 are odd numbers greater than 1?
The ratio between the perimeter and the width of a rectangle is 5 : 1. If the area of the rectangle is 294 sq. cm, what is the width of the rectangle?
If 15 men, working 9 hours a day, can reap a field in 16 days, in how many days will 18 men reap the field, working 8 hours a day?
Machine A can make 350 widgets in 1 hour, and machine B can make 250 widgets in 1 hour. If both machines work together, how much time will it take them to make a total of 800 widgets?
Roy is now 6 years older than Julia and half of that amount older than Kelly. If in 2 years, Roy will be twice as old as Julia, then in 2 years what would be Roy’s age multiplied by Kelly’s age?
The ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 4800 sq cm. What is the ratio of the width and the area of the rectangle?
5/25= 10/50. which method did you use to determine whether this proportion is true or false?
A sum of Rs.150 Has two types of coins Rs.1 and Rs.2. If total number of coins is 100 then number of Rs.2 coins is
The sum and the product of two numbers are 12 and 20 respectively, the difference of the number is?
Find the odd man out 1, 2, 5, 14, 41, 125
A sum of money at simple interest amounts to Rs. 825 in 3 years and to Rs. 854 in 4 years. The sum is:
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.6 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is:
If an integer n is to be selected at random from 1 to 100, inclusive, what is probability n(n+1) will be divisible by 5?
The diameter of the driving wheel of a bus is 140 cm. How many revolution, per minute must the wheel make in order to keep a speed of 66 kmph ?
Evaluate 28% of 450 + 45% of 280
A toy store regularly sells all stock at a discount of 20% to 40%. If an additional 25% were deducted from the discount price during a special sale, what would be the lowest possible price of a toy costing $16 before any discount?
How many seconds will a 420 metre long train take to cross a man running with a speed of 6 km/hr in the direction of the moving train if the speed of the train is 30 km/hr?
Which of the following is equal to the average (arithmetic mean) of (x+2)^2 and (x-4)^2?
2x + y = 16 \|y\| <= 16 For how many ordered pairs (x , y) that are solutions of the system above are x and y both integers?
A certain auto manufacturer sold 3% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is
Four unbiased coin are tossed. What is the probability of getting atmost one head?
Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill cistern. How much time will be taken by A to fill the cistern separately?
Find the number of ways in which 8 different flowers can be strung to form a garland so that for particular flowers are never separated.
In the coordinate plane a slope of the line K is 3 times the y-intercept of the line K. What is the x-intercept of the line K?
In a sequence of 41 numbers, each term, except for the first one, is 7 less than the previous term. If the greatest term in the sequence is 281, what is the smallest term in the sequence?
The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
In State X, all vehicle license plates have 4 letters from the 26 letters of the alphabet followed by 3 one digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed?
It takes Joey the postman 1 hours to run a 5 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 8 mile/hour, what is the speed with which Joey returns?
Three years ago the average age of a family of seven members was 22 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
Of the 200 students at University XYZ majoring in one or more of the engineering disciplines, 120 are majoring in electrical and 150 are majoring in mechanical. If at least 30 of the students are not majoring in either electrical or mechanical, then the number of students majoring in both electrical and mechanical could be any number from
In a certain sequence, each term except for the first term is one less than twice the previous term. If the first term is 1, then the 3rd term is which of the following?
If 13 men do a work in 80 days, in how many days will 20 men do it?
A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior?
A store sells nine different kinds of shirts. If we want to buy two different kinds of shirts, how many possible combinations of two shirts can we buy?
Number N is randomly selected from a set of all primes between 10 and 40, inclusive. Number G is selected from a set of all multiples of 5 between 10 and 40 inclusive. What is the probability that N+G is odd?
If a person walks at 15 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is:
Every digit of a number written in binary is either 0 or 1. To translate a number from binary, multiply the nth digit (reading from right to left) by 2^(n-1) What is the largest prime number (written in binary) that is a factor of both 10010000 and 100100000 ?
According to a recent student poll, 5/6 out of 30 members of the finance club are interested in a career in investment banking. If two students are chosen at random, what is the probability that at least one of them is interested in investment banking?
Look at this series: 53, 53, 39, 39, 25, 25, ... What number should come next?
B and C work together can complete work in 8 days A and B together can complete same work in 12 days and A& C together complete in 16 days in total how many days A,B and C complete the same work together?
One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
Two-third of a positive number and 16/216 of its reciprocal are equal. Find the positive number.
if a@b = a * b^(1/2) then 5@9 = ? self made
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
Large, medium and small ships are used to bring water. 4 large ships carry as much water as 7 small ships; 3 medium ships carry as much water as 2 large ships and 1 small ship. If 15 large, 7 medium and 14 small ships, each made 36 journeys to bring a certain quantity of water, then in how many journeys will 12 large, 14 medium and 21 small ships bring the same quantity of water?
30 square stone slabs of equal size were needed to cover a floor area of 50.7 sq.m. Find the length of each stone slab?
Six students wrote science exam. Their average marks are 70. Five Students got 65, 75, 55, 72 and 69 marks respectively. Therefore what is the marks of the sixth student?
Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 8x + 4 = 0?
Average weight of 10 people increased by 1.5 kg when one person of 45 kg is replaced by a new man. Then weight of the new man is
If the probability of rain on any given day in Chicago during the summer is 25%, independent of what happens on any other day, what is the probability of having exactly 3 rainy days from July 4 through July 7 inclusive?
The value of each of 5 numbers is at least 8. The average (arithmetic mean) of these 5 numbers is 24. If the average of two of the numbers is 18, what is the largest possible value that any of these 5 numbers can have?
1, 6, 13, 22, 33, ?
QUANT 4-PACK SERIES Problem Solving Pack 4 Question 2 For every positive integer n... For every positive integer n that is greater than 1, the function f(n) is defined to be the sum of all of the odd integers from 1 to n, inclusive. The f(n) could have any of the following units digits except…?
Jerry, an electrician, worked 9 months out of the year. What percent of the year did he work? (round answer to the nearest hundredth) What percent 12 is 9? 12 months = 1 year
The twice the square of a natural number is increased by 8, the number is equal to 458more than the number.
Two dice are tossed simultaneously. Find the probability that the total is a prime number.
Statement: "You are appointed as a programmer with a probation period of 1 year and your performance will be reviewed at the end of the period for confirmation." Assumptions: The performance of an individual generally is not known at the time of appointment offer. Generally an individual tries to prove his worth in the probation period.
In a stockpile of products produced by three machines M1, M2 and M3, 40% and 30% were manufactured by M1 and M2 respectively. 3% of the products of M1 are defective, 1% of products of M2 defective, while 94% of the products of M3 III are not defective. What is the percentage of defective in the stockpile?
In a college the ratio of the numbers of boys to the girls is 8:5. If there are 190 girls, the total number of students in the college is?
A sum was put at simple interest at a certain rate for 9 years Had it been put at 5% higher rate, it would have fetched 1350 more. Find the sum.
The remainder when W=1+3+3^2+3^3+..........+3^200 is divided 13.
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Find the least square number which is exactly divisible by 10,12,15 and 18.
Currently apples cost 75 cents/pound. Due to a disease affecting the apple trees it is expected that next month apples will cost 150% more than they do currently. How much are apples expected to cost next month?
Find the number of ways in which 10 different beads can be arranged to form a necklace.

The functions f and g are defined for all the positive integers n by the following rule: f(n) is the number of perfect squares less than n and g(n) is the number of primes numbers less than n. If f(x) + g(x) = 16, then x is in the range:

In how many ways can 8 different gifts be divided among four children such that each child receives exactly two gifts?

Of 10 applicants for a job, 3 had at least 5 years of prior work experience, 4 had advanced degrees, and 2 had at least 5 years of prior work experience and advanced degrees. How many of the applicants had neither 5 years of prior work experience nor advanced degrees?

The market value of a certain machine decreased by 25 percent of its purchase price each year. If the machine was purchased in 1982 for its market value of $8,000, what was its market value two years later?

The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?

Which of the following values is the greatest

If an average hard drive had a capacity of 0.3 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?

If 42.24 = k(14 + m/50), where k and m are positive integers and m < 50, then what is the value of k + m ?

A batsman scored 120 runs which included 5 boundaries and 8 sixes. What % of his total score did he make by running between the wickets

If 11 men working 6 hours a day can do a work in 88 days. Then 6 men working 8 hours a day can do it in how many days?

Last year Sandy saved 10% of her annual salary. This year, she made 10% more money than last year, and she saved 6% of her salary. The amount saved this year was what percent of the amount she saved last year?

Ujakar and Keshab attempted to solve a quadratic equation. Ujakar made a mistake in writing down the constant term. He ended up with the roots (4,3). Keshab made a mistake in writing down the coefficient of x. He got the roots as (4,3). What would be the exact root of the original quadratic equation ?

The G.C.D. of 1.08, 0.36 and 0.4 is:

A parking space have 9 different slots. 9 cars has to arrange in 8 slots. But there are exactly 4 cars between 5 specified cars. In how many ways cars can be arranged?

Since 2001, the standard serial numbers on a New York state license plate are 3 letters followed by 4 digits. How many different license plates are possible if letters and digits can be repeated?

There are some fruits in box, 1/3rd eaten by children . Then 2/5th of the remaining by men , then 2/3rd of the remaining by women . At last 4 were remaining . How many fruits were in total ?

The average age of 15 students of a class is 15 years. Out of these, the average age of 3 students is 14 years and that of the other 11 students is 16 years. The age of the 15th student is

A company, Chauncy Co., has an annual travel budget of $51,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year?

On a certain test, Bill scored 20 more points than John, but half as many points as Sue. If the sum of the scores of the three students was 140 points, how many points did Bill receive?

A sporting goods store ordered an equal number of white and yellow tennis balls. The tennis ball company delivered 30 extra white balls, making the ratio of white balls to yellow balls 6:5. How many tennis balls did the store originally order?

Can you find a seven digit number which describes itself. The first digit is the number of zeros in the number. The second digit is the number of ones in the number, etc. For example, in the number 21200, there are 2 zeros, 1 one, 2 twos, 0 threes and 0 fours.

A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is

The average of 50 numbers is 38. If two numbers namely 45 and 55 are discarded, The average of remaining numbers is?

If n is a positive integer, which of the following expressions must be even?

Set A of 8 positive integers may have the same element and have 35. And set B of 8 positive integers must have different elements and have 35. When m and n are the greatest possible differences between 35 and other elements’ sums in set A and set B, respectively, m-n=?

average weight of 20 boys and 15 girls in a class is 29 kg and 22 kg respectively.find the average weight of all the students in the class.

A car travels a distance of 160 miles in 2 hours and 40 minutes, what is the speed of the car in miles per hour?

In a certain alphabet, 9 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?

The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 22 years. Find the average age of the women?

A Katiland's train rails across an open track at 250 kilometers per hour. A regular passenger train travels at 68% of the Katiland's train speed. If the two trains start moving from the same station at the same time, how much time longer will it take the passenger train than the Katiland's to travel 850 kilometers?

How many three digit no's are between 100-500,where sum of two digit is 3rd?

The list price of an article is Rs.67. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?

Which of the following numbers has a zero in its units digit? I. (4!)×(4!)×(3!)×(11)×(17)×(31) II. (2!)×(3!)×(3!)×(5)×(17)×(31) III. (2!)^5×(3!)^5×(4!)^5

The weights of one liter vegetable ghee packet of two brands ‘A’ and ‘B’ are 900 gm and 700 gm respectively. If they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters, what is the weight (in kg) of the mixture?

How many factors of 990 are odd numbers greater than 1?

The ratio between the perimeter and the width of a rectangle is 5 : 1. If the area of the rectangle is 294 sq. cm, what is the width of the rectangle?

If 15 men, working 9 hours a day, can reap a field in 16 days, in how many days will 18 men reap the field, working 8 hours a day?

Machine A can make 350 widgets in 1 hour, and machine B can make 250 widgets in 1 hour. If both machines work together, how much time will it take them to make a total of 800 widgets?

Roy is now 6 years older than Julia and half of that amount older than Kelly. If in 2 years, Roy will be twice as old as Julia, then in 2 years what would be Roy’s age multiplied by Kelly’s age?

The ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 4800 sq cm. What is the ratio of the width and the area of the rectangle?

5/25= 10/50. which method did you use to determine whether this proportion is true or false?

A sum of Rs.150 Has two types of coins Rs.1 and Rs.2. If total number of coins is 100 then number of Rs.2 coins is

The sum and the product of two numbers are 12 and 20 respectively, the difference of the number is?

Find the odd man out 1, 2, 5, 14, 41, 125

A sum of money at simple interest amounts to Rs. 825 in 3 years and to Rs. 854 in 4 years. The sum is:

The average age of students of a class is 15.8 years. The average age of boys in the class is 16.6 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is:

If an integer n is to be selected at random from 1 to 100, inclusive, what is probability n(n+1) will be divisible by 5?

The diameter of the driving wheel of a bus is 140 cm. How many revolution, per minute must the wheel make in order to keep a speed of 66 kmph ?

Evaluate 28% of 450 + 45% of 280

A toy store regularly sells all stock at a discount of 20% to 40%. If an additional 25% were deducted from the discount price during a special sale, what would be the lowest possible price of a toy costing $16 before any discount?

How many seconds will a 420 metre long train take to cross a man running with a speed of 6 km/hr in the direction of the moving train if the speed of the train is 30 km/hr?

Which of the following is equal to the average (arithmetic mean) of (x+2)^2 and (x-4)^2?

2x + y = 16 |y| <= 16 For how many ordered pairs (x , y) that are solutions of the system above are x and y both integers?

A certain auto manufacturer sold 3% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?

The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is

Four unbiased coin are tossed. What is the probability of getting atmost one head?

Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill cistern. How much time will be taken by A to fill the cistern separately?

Find the number of ways in which 8 different flowers can be strung to form a garland so that for particular flowers are never separated.

In the coordinate plane a slope of the line K is 3 times the y-intercept of the line K. What is the x-intercept of the line K?

In a sequence of 41 numbers, each term, except for the first one, is 7 less than the previous term. If the greatest term in the sequence is 281, what is the smallest term in the sequence?

The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?

In State X, all vehicle license plates have 4 letters from the 26 letters of the alphabet followed by 3 one digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed?

It takes Joey the postman 1 hours to run a 5 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 8 mile/hour, what is the speed with which Joey returns?

Three years ago the average age of a family of seven members was 22 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?

Of the 200 students at University XYZ majoring in one or more of the engineering disciplines, 120 are majoring in electrical and 150 are majoring in mechanical. If at least 30 of the students are not majoring in either electrical or mechanical, then the number of students majoring in both electrical and mechanical could be any number from

In a certain sequence, each term except for the first term is one less than twice the previous term. If the first term is 1, then the 3rd term is which of the following?

If 13 men do a work in 80 days, in how many days will 20 men do it?

A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior?

A store sells nine different kinds of shirts. If we want to buy two different kinds of shirts, how many possible combinations of two shirts can we buy?

Number N is randomly selected from a set of all primes between 10 and 40, inclusive. Number G is selected from a set of all multiples of 5 between 10 and 40 inclusive. What is the probability that N+G is odd?

If a person walks at 15 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is:

Every digit of a number written in binary is either 0 or 1. To translate a number from binary, multiply the nth digit (reading from right to left) by 2^(n-1) What is the largest prime number (written in binary) that is a factor of both 10010000 and 100100000 ?

According to a recent student poll, 5/6 out of 30 members of the finance club are interested in a career in investment banking. If two students are chosen at random, what is the probability that at least one of them is interested in investment banking?

Look at this series: 53, 53, 39, 39, 25, 25, ... What number should come next?

B and C work together can complete work in 8 days A and B together can complete same work in 12 days and A& C together complete in 16 days in total how many days A,B and C complete the same work together?

One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?

Two-third of a positive number and 16/216 of its reciprocal are equal. Find the positive number.

if a@b = a * b^(1/2) then 5@9 = ? self made

Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?

Large, medium and small ships are used to bring water. 4 large ships carry as much water as 7 small ships; 3 medium ships carry as much water as 2 large ships and 1 small ship. If 15 large, 7 medium and 14 small ships, each made 36 journeys to bring a certain quantity of water, then in how many journeys will 12 large, 14 medium and 21 small ships bring the same quantity of water?

30 square stone slabs of equal size were needed to cover a floor area of 50.7 sq.m. Find the length of each stone slab?

Six students wrote science exam. Their average marks are 70. Five Students got 65, 75, 55, 72 and 69 marks respectively. Therefore what is the marks of the sixth student?

Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 8x + 4 = 0?

Average weight of 10 people increased by 1.5 kg when one person of 45 kg is replaced by a new man. Then weight of the new man is

If the probability of rain on any given day in Chicago during the summer is 25%, independent of what happens on any other day, what is the probability of having exactly 3 rainy days from July 4 through July 7 inclusive?

The value of each of 5 numbers is at least 8. The average (arithmetic mean) of these 5 numbers is 24. If the average of two of the numbers is 18, what is the largest possible value that any of these 5 numbers can have?

1, 6, 13, 22, 33, ?

QUANT 4-PACK SERIES Problem Solving Pack 4 Question 2 For every positive integer n... For every positive integer n that is greater than 1, the function f(n) is defined to be the sum of all of the odd integers from 1 to n, inclusive. The f(n) could have any of the following units digits except…?

Jerry, an electrician, worked 9 months out of the year. What percent of the year did he work? (round answer to the nearest hundredth) What percent 12 is 9? 12 months = 1 year

The twice the square of a natural number is increased by 8, the number is equal to 458more than the number.

Two dice are tossed simultaneously. Find the probability that the total is a prime number.

Statement: "You are appointed as a programmer with a probation period of 1 year and your performance will be reviewed at the end of the period for confirmation." Assumptions: The performance of an individual generally is not known at the time of appointment offer. Generally an individual tries to prove his worth in the probation period.

In a stockpile of products produced by three machines M1, M2 and M3, 40% and 30% were manufactured by M1 and M2 respectively. 3% of the products of M1 are defective, 1% of products of M2 defective, while 94% of the products of M3 III are not defective. What is the percentage of defective in the stockpile?

In a college the ratio of the numbers of boys to the girls is 8:5. If there are 190 girls, the total number of students in the college is?

A sum was put at simple interest at a certain rate for 9 years Had it been put at 5% higher rate, it would have fetched 1350 more. Find the sum.

The remainder when W=1+3+3^2+3^3+..........+3^200 is divided 13.

Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?

Find the least square number which is exactly divisible by 10,12,15 and 18.

Currently apples cost 75 cents/pound. Due to a disease affecting the apple trees it is expected that next month apples will cost 150% more than they do currently. How much are apples expected to cost next month?

Find the number of ways in which 10 different beads can be arranged to form a necklace.